ARTICLE IN PRESS
Y. Deng et al. / Journal of Magnetism and Magnetic Materials 303 (2006) 181–184
184
5
0
5
0
-5
-5
-10
-15
-20
-25
-10
-15
-20
-25
-30
t = 1.0mm
t = 1.5mm
t = 2.0mm
t = 1.0mm
t = 1.5mm
t = 2.0mm
-30
-35
0.0 2.0G 4.0G 6.0G 8.0G 10.0G 12.0G 14.0G 16.0G 18.0G 20.0G
Frequency(Hz)
0.0 2.0G 4.0G 6.0G 8.0G 10.0G 12.0G 14.0G 16.0G 18.0G 20.0G
Frequency(Hz)
(a)
(b)
Fig. 5. Frequency dependence of the reflection loss of the nickel hollow spheres: (a) micrometer-sized and (b) nanometer-sized composites at various
sample thickness.
frequency of microwaves, and d the thickness of the
absorber. The reflection loss is related to Zin by [15]
nickel hollow spheres. Reflection loss less than ꢀ25 dB
were predicted over 11 GHz with thickness of
a
ꢀ
ꢀ
ꢀ
ꢀ
ꢀ
ꢀ
ꢀ
ꢀ
1.5–2.0 mm. This absorber is well advanced in both mass
and thickness in comparison with the conventional ferrite
absorber.
Zin ꢀ 1
Zin þ 1
RL ¼ 20lg
.
(2)
Thus, the surface reflectance of an absorber is a function
of six characteristic parameters, viz., m0r,mr00,er0 ,er00, f, and d.
Fig. 5 shows the calculated reflection loss as a function of
frequency for micrometer-sized and nanometer-sized nickel
hollow spheres composites of different thicknesses. The
calculations use the actual values of er and mr as shown in
Figs. 3 and 4. The reflection loss is found to depend
sensitively on the thickness of the absorber. The maximum
attenuation of the incident wave is predicted for a thickness
of 1.5 mm for micrometer-sized nickel hollow spheres
composites, and 2.0 mm for nanometer spheres. The
minimal reflection of the nanometer hollow spheres
composites is decreased with an increase in the thickness
of the absorber (d ¼ 2:0 mm, RL ¼ ꢀ34:5 dB); however,
the micrometer spheres composites have the minimal
reflection loss (ꢀ30 dB) in the thickness at 1.5 mm. It is
suggested that the reflection loss is related to a matching
thickness.
Acknowledgments
This work is supported by National Natural Science
Foundation of China (Grant no. 50474004) and Shanghai
Science and Technology committee Nano Special Fund
(Grant no. 0452nm046).
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